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Finding the Fourth Proportional to 542,884.29, 813,796.95 and 258,498.44

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Solution

The fourth proportional to 542,884.29, 813,796.95 and 258,498.44 is: 387,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,884.29 : 813,796.95 = 258,498.44 : x
  2. Step 2: Convert to fraction form
    542,884.29/813,796.95 = 258,498.44/x
  3. Step 3: Cross multiply
    542,884.29x = 813,796.95 × 258,498.44
  4. Step 4: Simplify right side
    542,884.29x = 210,365,237,982.77
  5. Step 5: Solve for x
    x = 210,365,237,982.77/542,884.29
  6. Step 6: Final answer
    x = 387,495.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.